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Finding the Fourth Proportional to 519.44, 715.91 and 459.09

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Solution

The fourth proportional to 519.44, 715.91 and 459.09 is: 632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 715.91 = 459.09 : x
  2. Step 2: Convert to fraction form
    519.44/715.91 = 459.09/x
  3. Step 3: Cross multiply
    519.44x = 715.91 × 459.09
  4. Step 4: Simplify right side
    519.44x = 328,664.83
  5. Step 5: Solve for x
    x = 328,664.83/519.44
  6. Step 6: Final answer
    x = 632.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.